The curves
f
(
x
)
=
x
2
+
3
x
−
1
\displaystyle {f{{\left({x}\right)}}}={x}^{{2}}+{3}{x}-{1}
f
(
x
)
=
x
2
+
3
x
−
1
and
g
(
x
)
=
−
3
x
+
15
\displaystyle {g{{\left({x}\right)}}}=-{3}{x}+{15}
g
(
x
)
=
−
3
x
+
15
intersect at the point (2,9).
Find the acute angle of intersection, in radians on the domain
0
≤
t
≤
π
2
\displaystyle {0}\le{t}\le\frac{\pi}{{2}}
0
≤
t
≤
2
π
, to two decimal places.
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